pracprob_fin_ans.pdf - MATHEMATICS 115 Answers to Practice...

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MATHEMATICS 115 Answers to Practice Problems for Final Exam 1. (a) Let u = x , u 2 = x to arrive at Z 2 u cos u du = 2 ( x sin x + cos x ) + C. (b) Use partial fraction decompostion.
(g) Use the half-angle formulas for sine and cosine.
Page 2 2. (a) lim t →∞ Z t 2 dx ( x + 3) 3 / 2 converges to 2 / 5. (b) lim t 0 + Z 1 t x (ln x ) 2 dx

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